{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 301 Regression\n",
    "\n",
    "View more, visit my tutorial page: https://morvanzhou.github.io/tutorials/\n",
    "My Youtube Channel: https://www.youtube.com/user/MorvanZhou\n",
    "\n",
    "Dependencies:\n",
    "* torch: 0.1.11\n",
    "* matplotlib\n",
    "\n",
    "https://ptorch.com/docs/4/pytorch-video-regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch\n",
    "import torch.nn.functional as F\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<torch._C.Generator at 0x1bbbb3debd0>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "torch.manual_seed(1)    # reproducible"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# unsqueeze() 将一维数据变成二维的\n",
    "x = torch.unsqueeze(torch.linspace(-1, 1, 100), dim=1)  # x data (tensor), shape=(100, 1)\n",
    "y = x.pow(2) + 0.2*torch.rand(x.size())                 # noisy y data (tensor), shape=(100, 1)\n",
    "\n",
    "plt.scatter(x.data.numpy(), y.data.numpy())\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "建立一个神经网络，可以直接运用 torch 中的体系。先定义每层的属性(init())，然后再根据前向传递搭建(forward(x))层与层的关系连接。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Net(torch.nn.Module):\n",
    "    def __init__(self, n_feature, n_hidden, n_output):\n",
    "        super(Net, self).__init__()\n",
    "        self.hidden = torch.nn.Linear(n_feature, n_hidden)   # hidden layer\n",
    "        self.predict = torch.nn.Linear(n_hidden, n_output)   # output layer\n",
    "\n",
    "    def forward(self, x): # x为数据数据\n",
    "        x = F.relu(self.hidden(x))      # activation function for hidden layer\n",
    "        x = self.predict(x)             # linear output\n",
    "        return x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Net(\n",
      "  (hidden): Linear(in_features=1, out_features=10, bias=True)\n",
      "  (predict): Linear(in_features=10, out_features=1, bias=True)\n",
      ")\n"
     ]
    }
   ],
   "source": [
    "net = Net(n_feature=1, n_hidden=10, n_output=1)     # define the network\n",
    "print(net)  # net architecture"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# net.parameters() 包含所有需要学习的参数\n",
    "optimizer = torch.optim.SGD(net.parameters(), lr=0.2)\n",
    "loss_func = torch.nn.MSELoss()  # this is for regression mean squared loss"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用交叉熵损失函数时会自动把label转化成onehot，所以不用手动转化，而使用MSE需要手动转化成onehot编码。\n",
    "\n",
    "转化方法为：https://discuss.pytorch.org/t/convert-int-into-one-hot-format/507/3\n",
    "\n",
    "回归常使用的损失函数为`mean squared loss`，分类常使用的损失函数为`cross entropy loss`。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.ion()   # something about plotting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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nzmDrth2pAQpKt+GnBbB1vVu0+q9UrJK+pEoSHjRHZetQTapFlPtwSGvDLzfAEtT0J8mS+jArCUCVJjxoSY7WoJpUiyj14dDZ0c7o9p04f+HSAbWiQtNMqeW4CwpNfyIw8L3j9H+R6dy1veR1SniQYqpJtYi0jubOjna2btsxICHigusf5PM/fbhk02CSUqntygxsLWl9mFv6tg/K4iuXLKH3TmtTkGoR1WT69e3wqgMUpKe296x5gR8tWafMwBGq2ma9arL4lFUqau5rEWkdzb1DCEadHe2Ji8+lpbZfe+/TqZmB0tyG2qwXz+IrFWxKZZVKa1BNqoUkdTSnzX2WpqO9jYtPeuOr18a/PZ+/cGniNdtT1izTtDXNLy2IjNp5Jzra22qetkjLdoiCVItLagZMU9w0U2nAazNLDFSatqb5pQWLF7f0cfmZM0p+Cark37/a6ZJk5FFzX4srbgbs7Ginvc0GnNPR3sYVZ84o2zRzwfHTE5sBzzpi0qD9hsZYjQRpwWJ8Z8erY/SuOHNG4vuikiy+tPeUMgBbh2pSMqgZcKjZVGkzXPzPPU+xR5Tmvmlz34DsLnWEN7e0hJx4ECl+X9TynlJ2X+sxT+kvyLPu7m7v6elpdDGkhKSlFDra214NVMUqmQpH8kkp4s3DzJa4e3ejy1EN1aSkLkqNk0mijvDmFa+JFwLW+QuXKmBJJjIJUmZ2AvBVoA24yt3nFx3/JHAusA3YCPyDu6+Jjm0HlkWnPuXuJ2VRJmmsaoNOqY5wfVPPRr3vo8Y0ST3UnDhhZm3AN4B3AQcBZ5nZQUWnPQB0u/ubgBuAr8SObXH3GdGmADVCpAWdtDFWaR3haeNwlGxRneG4jxrTJPWQRXbfLGClu69291eA64CT4ye4++3uvjl6eA8wMYPXlRxLy8q6+KQ3VjV7tT74sjHU+3jTA+uYPX8RU+f9vGwmpsY0ST1k0dw3AXg69ngtcESJ8z8E/DL2eLSZ9RCaAue7+00ZlEkarFxWVqXNP0P54FPz4GBDvY/VNN9pTJPUQxZByhL2JaYMmtn7gW7g6NjuLndfb2b7AYvMbJm7r0q4di4wF6Crq6v2UkvdZbGUQrUffOoXGajcUiulAki1C11Wko4uUq0sgtRaYFLs8URgffFJZvZ24LPA0e6+tbDf3ddHP1eb2R3AYcCgIOXuC4AFEFLQMyi3NIFqP/i0gnD68uzFygWQamtfGtMk9ZBFkFoMTDOzqcA6YA7wd/ETzOww4FvACe6+IbZ/DLDZ3bea2V7AbAYmVUiLq/aDr9n6RbJumiy3PHtBqdnHa6l9aSFCyVrNQcrdt5nZR4FbCCnoV7v7w2Z2CdDj7jcDlwGvAa43M+hPNT8Q+JaZ7SAkccx390dqLZOMLNV88JVqHsxbX1U9miYrWZ7dIHXgdNIg7Dg138lw04wTUrNGffgnvS6Q2Dz43pkTBqxpVdhfKrOw3mbPX5Q6+epQFwCcOu/nqTWg+HOnBamhlEmaRzPOOKEJZqUmjRrHlPa6QGKK++2PbcxdKnupJsik+1jJvS6XSZdUE4qnmacFqELtKz6zRKWp6SK1UJCSmjRqHFO5BIk75x3HE/Pf/eoHax77qsoFlOL7WMm9ThqfVki/TRqTVhz4KimrBljLcFKQkpo06sO/2tcttaREoyQFlGLxvyftb4sveZK0AvPlZ87gyVjAjqukD6u49qUB1jKcNMGs1KRRAzirfd1qUtnr0cdW6jkrXRgw7W+GwUkXtQ6WhlADi5c1ntpe7XOJDJVqUlKTRi1KV+3rJtUwkpIm6tGUVeo5q1kYsFzNayi1mbSgPqGzY0BzafxvqPa5RGqhmpTUZLgHcMZrJIWFFHs391X0upXUMOoxGLiS56zkPlZS86q2NlNpDbNcs6BS06VeFKSkZvUYwFlJennvlj462tu4/MwZmb1+qb6uoTYDVtp/Vsl9LJyTlipebW2m0i8ZpYKfUtOlnhSkJHfSBrmObt+p7lMepfX77NHRPuSBt/Xot6t1nrxqA27a36AVlaXe1CclDZU03iateSxp2XkYWod92jiftL4uM4ac0VaPfrtK+9iSDKXfrVF9jyKqSUnDpNWYyqVEF6u2RlLJdETFtYzzFy5NfK5KAuRQ+u0qqekMtZl1KP1umjxWGkXTIknDlJqCJ0lnRztbt+1InNoIKv8ATXvdoUwXVI/mrqT587Kcwilt6iQDnpj/7pqfX/JL0yKJVKGaZrpSq/oCVTVfDWUA8nA2d9V7sGweBzZjFrZW88gjcMYZsPfeMHo0TJ8OF10EW4Y45ux3v4P3vhf23RdGjQo/3/lO+MUvks83M8zOxuwOzF7AbAtmT2D2Q8zeUHTubMy+gtlizDZitjU69yrM9k8tk9nRmP0Ms+eja1Zh9h+YdVbyJ6m5Txqm1ODUuOLsseLaxOz5i0p+qBfXsIaSyFCquSvrwb/1nsVDixPmxL33wnHHQV8fnHYaTJoEixbBJZfAbbeFbdSoyp/vi1+E//t/Ya+94D3vCQHqj3+EBx6AO+6AE08ceL7ZaOB64D3AcuAHwJ+A8cBfAW8AHo9d8SNgHHAX8D+E1dTfSlhtfQ5m78D97qLX+D+EZZq2AT8mrOJ+OPBJ4D2Yzcb9j6X+LAUpaZikD8tipZaVKCg1XVBS31PajOjlPqST+oCGstxGuaA2lCBaTaBU/1IObN8OH/wgbN4MP/kJnHRS2L9jR6hZ/ehHcPnlMG9eZc93/fUhQL397fDjH8NrXzvweF9i0tF/EALUpcC/4b5jwFGz9qLzLwe+R7RQbey8fwW+RFiU9pDY/tcBXwO2A0fifl/s2AWEtQP/HTin1J+mPilpqHJT7VTS55PWX9RmxvaE93ehZlbLh/RQy11Jf1O1fVL17sMaFoWmvko/j267DS67DO67L3zQd3XBqafChRfCHnsMPHf1apg/P9RS1q2Djg6YMAFmz4YvfQn23DOc98orcOWVcM018MQTsHVraIY79FD42MdCAMjKokXw138NRx0F//u/g8v7+tfD5MmhHOWaQXfsgP33h+eegyefhHHjUk99tU/K7PWEWtIS4AhqCQRmbYQaWAewF+7PR/v/Afg2cAPupxddsxPwLNAJvA73F9KeXn1S0lDVTAuUJq2/KClAQah5xWdKLwSsSpedqGSKoLTaXSX9TcXp5Z3RzBrnL1yaWL6Wm/D1W9+Cd7wD7rwTTjkFPvEJGDsWvvxleNvboLe3/9xnnoE3vxm+8x144xvh4x+HD3wApk6F730vHC845xz4538OtY6///tw7lFHwbJl8KtfZfs3LFoUfp5wwuBj++0Hb3gDrFkTAlY5d90VgtmJJ8KYMfDzn4d78dWvwt13p111FuHz/7vA7pi9H7MLMZtbsn8pmROa8yDUmgpeF/0c/EeEWtuTQDtwVKknV3Of5EItTVBp16bVdJKWnUhrrktqRqtk5vC0lYCrnX2ikubEPC5DUjdr1oTg8ZrXhFrUAQf0H/vIR+Cb34R/+RdYsCDsu+EGeOEFuOKKEIDi/vIX2Cn6nv7ii3DddTBzZugraiuaI/H55wc+vuaaUGup1JQpIQgWLI++QLzhDUlnw7Rp8PjjYXv960s/9+LF4ec++8Dhh4egGnfUUeE+DKxhvTn6uQewCtgzdswx+ybwcdwrGQ9yOvBa4B7cY98QKPQ1TR10RahJTYkeHTDoeIyClORGLdMrpV1bLkGgXC1kKOO4OtrbOPaAcYnXdu7anjgoOa2/qZIxTY2aib4hvv/90Cz3qU8NDFAQmu6+//1QQ/r61wcmHXQk3Ivdduv/3Sw0NY4a1R+44vbcc+Dja64Z3ExXytFHDwxSL74YfhY3TRYU9sdrhWk2bAg/r7wy1BB/8xs44ogQ0D/1KbjlFjj99JA80W/v6OclwG+ATxNqNrMIiQ4fATYCF5d8bbOpwNcJNalPFR29Jdp/CmbduMf7aD5BSMIAGFPqJdTcJyNWJbMylKqFpAWIthJ9BOVWAnanqmbNSmpJLTUbxP33h5/HJfRTjhkDhx0GL78Mjz0W9p10Uqh1nXdeSM1esAAefnhw39fuu8Pf/E1oOpsxI2TY3X576O9Kcscd4Tkq3QYGiPIK5askLX/79v5rbrgh9HW95jWhefPGG2HixBBQBzb9Fd4wzwB/i/tDuP8Z90XAacAO4JOY7ZL6umZ7A78kBJt/xv2uor9hDfA5QpPenZhdi9llmN1KSNr4Q+EvKPXnKUjJiJa0Sm9cqTFDaQFiu3tiULjizBllVwJ+cUtfVdMZVTKmqZYpkppOoQay777Jxwv7CzWQyZNDs+Cpp4Yaxj/+Ixx8cNj/ta8NvHbhwv4xShddFALhnnuGPqznnsv27yjUlAp/T7GXXhp4XiljoorIfvuFJI+4jg44/vjw+333xY9sin7+CveBb1b3B4EnCE14Bya+ZghQi4DphAD1n4nnuV8KnEJIWz8R+Cih5nQWUBi8taHUn6fmPmlppcYMpfVpVZIdWKoJrppmzUrHNNVjJvpcKnxoP/tsqCkUKyRCxD/cDzwwBKBt2+DBB0Ow+vrXQx/VbrvBhz4UzuvogIsvDtvTT8Nvfxua9b7//dD/9Lvf9T9nrX1S06N/v8cfTzobVqwIP9P6rOIKz9WZMja2EMQGDhBeDrwTSGtPLASxwd+SzPYFbiP0JZ2XGqAK3H8C/CThef4p+m1xqcszCVJmdgLwVUIV8ip3n190fBTw38BM4HngTHd/Mjp2IWEw2Hbg4+5+SxZlEqlEuYSNtABRLihkNWBWY5qKHHZYGAd0xx2hWSuutxeWLg0zNxyYUAHYeeeQGDFzZsgCPOoouOmm/iAVN2kSvO99cNZZoe/r978PyROFvqla+6SOOy70of3qVyFtPm716hC8Jk8OtaNyjjoq/G0rVoT+ul2KWugeeij8nDIlvvc24GPAwYOeL3xeT4sePVl0bCKhBrU/8GHcF5QvYAKzA4AjCTW21BREANy9po0QmFYB+wG7AA8CBxWd8xHgyuj3OcDC6PeDovNHETJAVgFt5V5z5syZLjIcbrx/rb/t0tt8ymd+5m+79Da/8f61FZ9/6MW3+IzP31LxtS2t0HtTzhNPuLe3u++xh/uKFQOPffSj4TnOPbd/3733uj/77ODnuf76cO4ZZ4THGza433PP4PNeesn9da9z33nn8HtWtm1zP/DAUIaf/KR///bt7qedFvZfeunAa155xf3RR91Xrhz8fO97X7jms58duP/Xv3Y3C/dr0yYHetwdh10cVjnscHiHxz9j4YuFnrSi/V3RNdsdPuhlPqeja3ZP2Le3w/3Ra5xe7jlqHsxrZm8FLnb346PHF0bB79LYObdE59xtZjsTBnGNA+bFz42fV+o1NZhX8mhEDKptlEKCwNlnp5/zn/8Ju+4afp53XphV4YwzQmp1ITHggAPC+KmxY8M1n/gEfOMboSaz//6h6WvVKvjpT8NH5O23w1vfGmpghx0WamCHHx5qUi+9BD/7GTz1VEh7/+pXs/2bi6dF6uoKg5R7esJA4+JpkZ58MmTvTZ48uKlxw4ZwzcqV8Fd/BbNmhey+G28M9/YHP4DTTx84wazZkcCvCZWLG4E1hNT0owiZfUfi3t8eafYEIW18CfCzlL/qGqJWsuiafwdOINSWNgITgZMIqe+fw/0L5W5TFs19EwjzMRWsBY5IO8fdt5nZi4S8/AnAPUXX6n+zNKV6LD3fcr773fRjV1wRgtRHPhICzr//e5g+aPPmEFQuuAD+9V8H9s2cdVaYOeKuu0Jm4JYtYbaJOXNCevbBUWvXlCnw+c+HZsTbbw9z3o0dG/p75s8P52ftiCPCGKeLLoJf/xr+9KcQgD73uTAdUjXz9u29dwh6X/xiCEz33BOC+LvfHZoT3/KWwde4/x6zbuAi4FjC7A/PEaY3+gLua4uumBL9nBltSe5gYBPh7YS5+k6Onn8Tobnwctx/V3xxkixqUqcDx7v7udHjDwCz3P1jsXMejs5ZGz1eRcjHvwS4292/H+3/NvALd/9RwuvMBeYCdHV1zVyzZk1N5RbJmpbAkLxr1aU61gKTYo8nAuvTzoma+/YAXqjwWgDcfYG7d7t797gSc1OJNEoul8AQaXLNSY7pAAAQ5ElEQVRZBKnFwDQzm2ph4Ncc4Oaic24GCo3NpwGLPFThbgbmmNkoCyOXpwH3IdKEWmpQrcgwqblPKupj+ihhCow24Gp3f9jMLiFkktxMmAn3e2a2klCDmhNd+7CZ/RB4hDB9xnle2VxRIrmjdHGR7GmpDhGRFtGqfVIiIiJ1oSAlIiK5pSAlIiK5pSAlIiK5pSAlIiK5pSAlIiK5pSAlIiK5pSAlIiK5pSAlIiK5pSAlIiK5pSAlIiK5pSAlIiK5pSAlIiK5lcXy8VILd1i/PixrPXp02HbdFTo6wKzRpRMRaSgFqeGyYwc89RQ8/DA88sjA7c9/Hnx+ezt0diZvY8akHytso0cryIlI01OQytr27fDkk4OD0aOPwubNlT9PXx9s3Bi2oYgHuUqCWnEQHD16aK8rIpIhBamh2rYNVq8eHIweewxefrnRpas9yI0aNTh47bFH5bU7BTkRyYCCVDmvvAIrVw5uolu+PBwbqbZuheeeC9tQJAW54m38eDj0UDjwQNhll2zLLyIjgoJUwdat8PjjAwPRww/DihWh1lRPu+0G++wTyvDyy/CnPzV/AKwmyLW3w0EHQXd3/3bIISHQiUhLa70gtWVLqAUVB6OVK0NyQz3tvnuoNbzxjWEr/D5p0sAkB/cQrDZtghdfhN7e9N/jj+M/+/rq+7dkqa8PHnwwbN/+dtjX3h4C1cyZ/YHr4INV4xJpMebujS5D1bq7u72np6e6i266CT796dCPVO+/ubMz1AyKg9H48cOTcRcPcsWBrFzAK2x5DHK77BKaB7u7+4PXQQeFgCYiZZnZEnfvbnQ5qlFTTcrMxgILgSnAk8AZ7r6p6JwZwDeB3YHtwJfcfWF07BrgaODF6PRz3H1pLWVKNXo0rFqV7XPuuWdyMNpnn8amf5uFcVYdHSEwVss9ZCKWC2rxmltxsKtHE+krr8DixWErGD26P3AVtgMOgJ1br5FAZCSqqSZlZl8BXnD3+WY2Dxjj7p8pOucNgLv7CjMbDywBDnT33ihI/czdb6jmdYdUk3rqKZg8ubprCvbZJwSfgw4KWyEYjRs3tOcb6eJBrjioFYLY88+HptYHH4Rnn8329XfdFWbM6A9aM2fC9OnQ1pbt64g0mZarSQEnA8dEv38XuAMYEKTc/fHY7+vNbAMwDuit8bWrM2kSvOY1yQNnC8aP7w9GhUB00EEwduzwlXMkMAvJILvtVllN7tlnYcmSsPX0hJ/r1w/99TdvhrvuClvBbrvB4YcPbCqcNg120sxgInlWa02q1907Y483ufuYEufPIgSzN7r7jqgm9VZgK3AbMM/dt5Z73SHVpABmzQpNRV1dg2tFBx4Y+pIkH9av7w9YPT1h27Ah29d47Wv7A1bh5+tfr5k6ZMRqxppU2SBlZr8BXpdw6LPAdysNUma2L6Gmdba73xPb9yywC7AAWOXul6RcPxeYC9DV1TVzzZo1pf+yJE88AXvtFT6cpLm4w9q1A2tbPT3wxz9m+zqdnf01rsI2ZYoCl4wIIzJIlbzYbDlwjLs/UwhC7j494bzdCQHqUne/PuW5jgE+7e7vKfe6Q65JycjiDmvWDKxtLVkS+r6yNHbs4BpXV5cClzSdVgxSlwHPxxInxrr7vxSdswvwS+Cn7n5F0bF9owBnwOXAy+4+r9zrKkhJKvdQY47XtpYsCckbWdprr4G1rZkzYcIEBS7JtVYMUnsCPwS6gKeA0939BTPrBj7s7uea2fuB7wAPxy49x92XmtkiQhKFAUuja0pkNgQKUlKVHTvC+LientAnWUjSKJVEMxT77DNw8HF3N+y7b7avIVKDlgtSjaIgJTXbsSNMg1UIWIsXwwMPwF/+ku3rjB8/uKlwn32yfQ2RCilIDRMFKamL7dvDlFnx/q0HHghTaWVp4sSBQWvmTI25k2GhIDVMFKRk2GzbFtYCK/RvLV4cBiBvLTtSojqTJw/s35o5U+PzJHMKUsNEQUoaqq8vzJYR79968MHsZ66fOnVg/9bhh2ssn9REQWqYKEhJ7rzyCjz00MCmwj/8Ifs5DPfff2DgOuywMLu+SAUUpIaJgpQ0hZdfhmXLBqbCL1sW+r6yNG0a7LdfaDKcMiVMAdbVFbYJEzRLvLyqGYOUpooWqZfRo+HNbw5bwZYtoYZVaCrs6QlNh7WsZbZiRdiSmIU0+ELgKv7Z1RWSNjS+S3JKNSmRRvvLX0KfVryp8NFH67/uWcGoUSFopQWySZM0ldgIoZqUiFRvt93gbW8LW8Gf/wz33z9wHNfjj6c/Ry22bg0rU69cmX5OZ+fA2ldxIFOzotSJalIizeLFF8O4rfiUT6UCy3BSs2JTaMaalIKUSDPr7Q2Bas2asD31VP/29NPZL29SCzUrNlwzBik194k0s87O/nT0JC+/HJY4KQSteAB7+ukQ2LKeCiqNmhVlCBSkREay0aPD2Kr9908+7h6aEePBqziQrV2b/XivNL29YVu2LPl4uWbFSZNg773VrDiCKEiJtDKzUHvp7IQ3vSn5nO3b4bnnkmthhd+Hq1nRPazavH493Htv8jmjRoX5EdNqY2pWbCoKUiJSWltbmM19/Hh4y1uSz4k3K8YDWbx2lvXSKGm2boVVq8KWJt6smJTkoWbF3FCQEpHaVdKs2NubXAsrBDI1K0oCBSkRqT8zGDMmbKWaFZ99NrkWNtzZikNtViwEscmTw7brrsNT3hFMQUpE8qGtLTSzTZhQulmxEMTSAlmemhXHjYMDDwwDtY88MvwcM2Z4yjdCKEiJSPMYPTpMqDttWvLxeLZiPHg1Kltx48aw/fa3/fsOPjgErMLW1aVmwxI0mFdEWktatmI8sA3nIOiJE2H27P6gdcghoVZZB804mFdBSkSkWCOzFV/72v7mwSOPhFmzMuvbUpAaJgpSItJQxdmKxc2La9aEIFfLEiwFO+8MM2f217Zmzw6ZhUPQckHKzMYCC4EpwJPAGe6+KeG87UAh1/Mpdz8p2j8VuA4YC9wPfMDdy67BrSAlIrnX1werV8Pdd8Pvfx+25ctrf97dd4dNm2Cnnaq+tBmDVPV/5UDzgNvcfRpwW/Q4yRZ3nxFtJ8X2fxm4PLp+E/ChGssjIpIP7e0wfTqccw5cdRU89ljo67rxRvjkJ+GII0ItqVpvfeuQAlSzqjW772TgmOj37wJ3AJ+p5EIzM+A44O9i118MfLPGMomI5NO4cXDKKWED2LwZ7rsP7rwz1LTuugteeqn0cxx5ZP3LmSO1Bql93P0ZAHd/xszSGkpHm1kPsA2Y7+43AXsCve5eyAVdC0yosTwiIs1j113hmGPCBiHz8KGH+psHf//70LcVN3v2cJeyocoGKTP7DfC6hEOfreJ1utx9vZntBywys2VA0teF1A4yM5sLzAXo6uqq4qVFRJpEWxscemjYzjsv7Hvqqf6AdffdIduvhdSaOLEcOCaqRe0L3OHu08tccw3wM+BHwEbgde6+zczeClzs7seXe10lToiIVK8VEyduBs6Ofj8b+EnxCWY2xsxGRb/vBcwGHvEQHW8HTit1vYiItK5ag9R84B1mtgJ4R/QYM+s2s6uicw4EeszsQUJQmu/uj0THPgN80sxWEvqovl1jeUREZATRYF4RkRbRis19IiIidaMgJSIiuaUgJSIiudWUfVJmthFYU8NT7AX8MaPiZEnlqk4ey5XHMoHKVY08lgmyKddkdx+XRWGGS1MGqVqZWU8eOw9VrurksVx5LBOoXNXIY5kgv+WqNzX3iYhIbilIiYhIbrVqkFrQ6AKkULmqk8dy5bFMoHJVI49lgvyWq65ask9KRESaQ6vWpEREpAmM2CBlZqeb2cNmtsPMUjNizOwEM1tuZivNbF5s/1Qzu9fMVpjZQjPbJaNyjTWzW6PnvdXMxiScc6yZLY1tL5vZKdGxa8zsidixGcNVrui87bHXvjm2P/P7VeG9mmFmd0f/1n8wszNjxzK9V2nvldjxUdHfvjK6F1Nixy6M9i83s7Iz/WdYpk+a2SPRvbnNzCbHjiX+Ww5Tuc4xs42x1z83duzs6N98hZmdXXxtnct1eaxMj5tZb+xYXe6XmV1tZhvM7KGU42ZmX4vK/AczOzx2rG73KjfcfURuhIltpxNWC+5OOacNWAXsB+wCPAgcFB37ITAn+v1K4J8yKtdXgHnR7/OAL5c5fyzwArBr9Pga4LQ63K+KygX8OWV/5verkjIBbwCmRb+PB54BOrO+V6XeK7FzPgJcGf0+B1gY/X5QdP4oYGr0PG3DVKZjY++dfyqUqdS/5TCV6xzg/6W831dHP8dEv48ZrnIVnf8x4OphuF9HAYcDD6UcPxH4JWDAW4B7632v8rSN2JqUuz/q7svLnDYLWOnuq939FeA64GSzV5e2vyE677vAKRkV7eTo+Sp93tOAX7r75oxeP0215XpVHe9X2TK5++PuviL6fT2wAajHYMXE90qJ8t4A/HV0b04GrnP3re7+BLAyer66l8ndb4+9d+4BJmbwujWXq4TjgVvd/QV33wTcCpzQoHKdBVyb0WuncvffEr6IpjkZ+G8P7gE6LazfV897lRsjNkhVaALwdOxxYQn7ei5tv4+7PwMQ/dy7zPlzGPwf5UtRtf9yi9bqGsZyjTazHjO7p9AESf3uV1X3ysxmEb4hr4rtzupepb1XEs+J7sWLhHtTybX1KlPchwjfyAuS/i2zUGm53hv929xgZpOqvLae5SJqFp0KLIrtrtf9Kiet3PW8V7lRdvn4PLMSS9u7eyULKFrCPi+xv+ZyVfoc0fPsCxwC3BLbfSHwLOHDeAFhTa5LhrFcXe6+3sz2AxaZ2TLgpYTzKrpfGd+r7wFnu/uOaPeQ71XSSyTsK/4b6/J+KqHi5zWz9wPdwNGx3YP+Ld19VdL1dSjXT4Fr3X2rmX2YUAM9rsJr61mugjnADe6+PbavXvernOF+X+VKUwcpd397jU+xFpgUezwRWE+YH6vTzHaOvhEX9tdcLjN7zsz2dfdnog/WDSWe6gzgRnfviz33M9GvW83sO8Cnh7NcUZMa7r7azO4ADgN+xBDvVxZlMrPdgZ8D/xY1hxSee8j3KkHaeyXpnLVmtjOwB6EZp5Jr61UmzOzthKB/tLtvLexP+bfM4kO3bLnc/fnYw/8Cvhy79piia+/IoEwVlStmDnBefEcd71c5aeWu573KjVZv7lsMTLOQmbYL4Y15s4deyXotbX9z9HyVPO+gNvHow7rQD3QKkJgRVI9ymdmYQpOZme0FzAYeqeP9qqRMuwA3Etrsry86luW9SnyvlCjvacCi6N7cDMyxkP03FZgG3FdDWSouk5kdBnwLOMndN8T2J/5bZlCmSsu1b+zhScCj0e+3AO+MyjcGeCcDWxLqWq6obNMJiQh3x/bV836VczPw91GW31uAF6MvYPW8V/nR6MyNem3A3xK+aWwFngNuifaPB34RO+9E4HHCN6LPxvbvR/ggWQlcD4zKqFx7ArcBK6KfY6P93cBVsfOmAOuAnYquXwQsI3zgfh94zXCVC3hb9NoPRj8/VM/7VWGZ3g/0AUtj24x63Kuk9wqh+fCk6PfR0d++MroX+8Wu/Wx03XLgXRm+z8uV6TfR+79wb24u9285TOW6FHg4ev3bgQNi1/5DdA9XAh8cznJFjy8G5hddV7f7Rfgi+kz0Pl5L6Dv8MPDh6LgB34jKvIxYtnI971VeNs04ISIiudXqzX0iIpJjClIiIpJbClIiIpJbClIiIpJbClIiIpJbClIiIpJbClIiIpJbClIiIpJb/x/cnxJl1skemwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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wyfXuu75qnA5Ajz/um+OKNWoUTJvmA0/MNtigfyo1qUlPFzWpJl8NJ+//0dq1MH8+3Hsv/OUvxTe99+sHJ56YCTCjkhlemE3BJqZuDTa5duyAl17K1HwefdSP2ynGEUf4wDNtmh+8VUDYP1XJbc0iVWzkjPmdpinJNTir76ZgNtrOnfD00z7A3HMPLFlSfOEOOSQTXD7yEWjo2nFwCjYxVVSwCbJ2bSbwPPKI7xiMa8IEX9v5xCf8TAcBwv6plAYtPVmhmk2k2v/mzT5jLF2DWV/k/MD9+/sO/dNP930v5Rp+USQFm5gqPtjkWrcO/vxnP+XEgw92HA1ciJlvv502Dc47D/bZZ9dLYf9UjQ31bNu+U81rUnOi9FEGNS+nkwQG57vxeuUVX3OZP99PbdXeeUaOSI44wgeW00/3mah9+hR3nAQo2MRUdcEm25tvwl13wezZ8Ne/xkuF7N3b/xFPmwZTpjB3xebAPpt+9b0Cp65R85pUszh9lJESZ95/308Fkw4wy5cXV7DGRjjllEzmWEIzjJSDgk1MVR1ssq1dC3/8ow88Tz0V7739+sFZZ/HkhFOZ0TaU1e/t2PVP9bXbngttXoudyilSIcrSR7l+vc8cu+ce30xWbHLP2LFw5pn+ccwx/kawClRrsKmOs1vJDjgALr/cP159FW67zQeeF18s/N6tW+GOO5hwxx0s3mMP+NjH4ITpcPi+XL+gIfCfUpNySjUramZz5/xwhXTt5amnihtY2bev73tJB5jhw+MfQ4qmYFNOBx4IV13lHy+9BHPm+MCzcmXh977zDvzud/4xcCC3nnA6320Yy9/2PwRnfvCoJuWUandAY8SbqPfeg4ULM9lja3NXNYloyBAfWM46C046CXbbrbjjSMnUjJY053wm2+zZvtbTEm/VzfV7DmTewRN5fPypnH3ROUw9akhCBRVJXt4+m73aM8Fl8WLYti3+B5j5LNCzzvKPI46ouZmVq7UZTcGmK+3c6TszZ8+G22+Ht2KuwnDQQZkxPIcfnkwZRRKW7vj/19vvcuqmV7l823IObn7YtwYUY889faf+WWf57LFiVwGuEgo2MfXIYJOtvd03E8yZA3ffHb+T8/DD/RieadN8851INXj7bT8lzD33+K/Fzjs2enSmeezf/g3q68tbzgqmYBNTjw822bZu9dk1s2f7sTxbt8Z7//jxPuhccIFPWBCpAHOXtHD9/S+z+4plTF27hE+88QIDX2gubkmQ+nqYNCkTYD74wfIXuEoo2MSkYBPinXf8+uSzZ/uZZ+MOHp00yQee88/vMHhUpMts3cpjv76dVb+9nUnLn2TI5iJH7n/gA5nMsVNOKdv6UtVOwSYmBZsI3nrLDx6dM8d3mMYdPHrKKT7wTJ3q27VFktLSkuncX7gQtmwp7jhNTZkAc/TRJS3jUasUbGJSsIlp3To/eHTOHL9AXBx9+/p/3unT/dcunjhQalB6Yst77vGP554r7ji77w6nnprp3A+ZQ1AyFGxiUrApwapVmcGjcdfe6N/f13SmT/c1nx7UsSol2rSp48SWxS6JPHIknH22DzDHH+9vhiQyBZuYFGzKZOnSzODRFSvivXfvvX3fzrRp/p++ri6ZMkp1cs7PNZZuHnvkkXh9iCnbrRfNQw7l4YMncNSln+Lkjx0fOvZFCwkWpmATk4JNmTnn1+iYPdsHnzVr4r1///19Ntu0aT67rcYGwklE77/vZ0tOB5i4NzApbzfsyWOjPswjo8dz3wEfYo/9BhUMHFpIMBoFm5gUbOKJdce3c6dfiyc9eDRuc8fIkZmVR8eOLb3wUtn+9S/fLHbPPX75jHfeKeowm0aNYc6gI1hwYBPP7X8wO3vVxQoWWkgwGgWbmBRsoivpjm/7dli0yAeeu+6KP3j0sMMysxb04LENNWXnTl8LTtdenn66uOP06+cntjzrLDjjDCb+YUVRwSJ9IxW2WJpmOu+oWoNNpLxCMzvNzJaZ2Qozm5Fnv/PNzJlZ1Z2ISnb9gmWd1llva9/B9QuWFX5z794+2+c3v/F3sHff7VcOjZqR9tJL8J3v+LXVP/xh+O//jt9EJ93v3Xf9wn///u9+csqmJrj66viBZuhQuOQSH6Teest/veQSGDasqBmd0zdS+Vbl1EzntaHgrM9mVgfcCJwCrAGeNrN5zrmlOfvtAXwFeDKJgvZkRU3LHqRfP5+JNnWqv/hkDx6NsqJhc7N/XHGFX3t9+nSfYFDjc1FVrVWrMtPyL17s+2Pi6tXLr/WSHrk/dmxof17kGZ2zBN1IZdNM57UjyhID44EVzrlXAcxsDjAFWJqz3/eBHwFXlLWEkvefuOjsnf794ZOf9I+33/Y1ntmz/UUpynQijzziH1/+Mpx8sg88U6fCgAFF/IRSFtu3+766dIBZmvsvGtGAAX7FyjPP9GNfBg6M9LYrJ48ObO7NFyzy3TDlXf5Zqk6UYDMYeD3r+RpgQvYOZjYOGOqcu8fMFGzKLOyf+MRDBnXY3tLaxlV3+UXbYv2D7r03XHSRf7zxBtxxhw88jz1W+L07dvia0YIFfrzEGWdkBo9q7ZDkvfmmn9By/nz/tbW1uOOMGZMZuT9xYqzxV9k3PAMa6ulX34vWLe2Rbn7CbqSUFFB7ogSboDrzrqwCM+sF3AB8tuCBzC4GLgYYNmxYtBLKrn/W3BpMvr6csH/wgjWh/faDyy7zj9WrM0teRxkhvm2bryHdfbevOU2Z4hMLTj0V+vQp9seXbM7B3/+e6dx//PHiJrbs0wdOOME3jZ15ZtEzh+cmr7S2tdNQX8cNFxwZ6YanmNqQVKeC2WhmdixwjXNucur5VQDOuetSzwcAK4F3U2/ZD3gbOMc5F5pupmy00o2cMZ+g315Y9k5JWW0vv5wZPLp8ebyC7r03nHOOv7CdcormaYurrc1nFM6f7x///Gdxx9lvv0zfy8kn+xuCIhXKIItTM9FAzniqNRstSrDpDSwHPgq0AE8Dn3TOBa50ZGYPAVfkCzSgYFOKYv/RyzKOIT14dM4c/3j99cLvyVZf7zuZDznEP0aP9l9HjdKcbdlefz1Te1m0yAecYjQ1ZVatHDeuLBNbBt205FK6cnKqNdgUbEZzzm03s8uABUAdcItz7iUzuxZods7NS7qQklHoHz1fE0RZstrM4Kij/GPmTN+Mkx48uj7CVPLt7fDss/6Re9wRIzJBKDsQ7btv7c9osGMHPPVUpnP/+eeLO07//h0nttxvv/KWk8IZZKB0ZelMgzqrTFjtBApn75Ty3oK2b4eHHsoMHi22ozpIY2PHIJQORAcdVN0Tiba2+sSK+fP94nlvvlnccQ46yDePnX22T0kv48SWQU1cX7vtucDm2zRNMZOsaq3ZKNhUmbj9NNCx2c0g9EJRtovEtm3+Ijp7th/LU+zaJoX07u0vtOkaUPZjr72S+cxSOAfLlmVqL4884ms0cfXu7YNKuv/l4IMTqfmF9fH1q+/Fxi3B47KUrpw8BZuYFGyKk6/fJZ2hln0XCnS6YOQLOGVPOX3vPd/nkL7AtrSU79j57Ltvx6a49GP48K6d3XrbNj+xZfrnX7myuOMMHOjTys880zeTNTaWt5wBwv7WGhvq2bZ9pybM7CYKNjEp2BQn7G7zvKMHc+czLbHuQoMk2rHrHKxd6+/uX34Z/vGPzPdxEw2K1bevrwnkBqLRo0vKzurgjTcyE1s+8IAPuMU48sjM2Jfx47t8CYh8tegbLjgyVgaZMs7Kp1qDTZRxNlJB4o65KdSRmyvfrAQlXzDMYPBg/zgpp/b07rs+pfrll/0jHYSWL4etW2P9DHlt2wYvvugfuQYP7twcd8ghfnu+ZqqdO33CQzp7rNibqIYGn5KcmtiSIUOKO06Z5Ju5Yuq4wZF/97k3SEUPPpaqpppNjQi7Cw0T1hQSVkMK255408mOHX5cybJlHWtC//hHtOy3cth99461oOHDfUJEW5sPMvfe62szxRg2LDOw8sQTuy39O+hGAsKbYOP0zWjpgPKq1pqNgk2NyJdplisdJCC4hhR0nDozdgT8rXTrBWPjxkzwSX99+WW/4FcRK0p2iV694NhjM2NfDjus29O68w32BUKTS6LebBST1CLhqjXYqBmtRgRN+xEk944090LxtduCp6UJCjRQxMzT5bTXXn5G4mOO6bi9vd3PeJxdE0o/Nm7s+nI2NvqJLc8+GyZPhn326foy5JFv2qNHZ5zE1HGDA29mCk2NlFbMbNBSexRsakR2X04pU4iEXRjCajYVecGor/dJAAcf3HG7c37V0uyaUDogrV5d3BxjYQ49NDP25dhjfbpyhYoy2LeUAcGa/0xAwaampDttw5pFovxzh10YwvpsquqCYeZTovfdF44/vuNrW7fCK68EZ8pFySbr08f3uaTHvowcmczPkIAoNY9SaidhSS1KDuhZFGxqUCn/3Pne2zR879q9YPTr5+dsGzu243bn/Nig7Oa4t9/2waVfPz+p6HHH+eWRy5U63cWi1DxKrZ3EyV6T2qQEASmKxk3Ulii/T/3OK0O1Jggo2EhsJS1VICIlqdZgo2Y0ySvobraYRdtEpGdTsJFQYSO/w9KruzUNWkQqWukrKUnNCqvB1IUMQqzINGgRqQiq2UiosJrKDudoqK+LlZmkzuXySfpc6nclSVDNRkKF1VQGNzZw3bljGdzYgGU9D7sgpZvjWlrbcGSa4+Yu6aLlBmpI0udSvytJimo2Eirf2Io44yaUUFA+SZ9L/a4kKQo2EqpcI79LmepEOkr6XOp3JUlRsJG8yjHyWxMxlk8x5zJOH4x+V5IU9dlI4q6cPJqG+o6rTEaZ6mTukhYmzlzEyBnzmThzkfoNiH8u4/bBFPu7EilENRtJXDHNcVrdMVjccxm3D0aTZkpSFGykS8RtjlNHdcfmrwEN9ZhB65b2WAGgmD4YTZopSVCwkYrU0zuqc2t2rW3tu16LU8tTH4xUCvXZSEUKuxhW4kUyib6loJpdtnQtr1CZ0ss5Z1MfjHSHSMHGzE4zs2VmtsLMZgS8/nUzW2pmL5jZQjMbXv6iSk9SLR3VSQ2CjFKDC9snu0wADnYFnEIDcEWSUrAZzczqgBuBU4A1wNNmNs85tzRrtyVAk3Nui5l9EfgRcEESBZbaky81N2h7JU2nklTfUljzV+4+UcvkiLYsuEhSovTZjAdWOOdeBTCzOcAUYFewcc4tztr/CeDCchZSktddF/BCWWdBC3hVUpZaWO2ipbWNiTMXhZ7HQuc7aPaGbPlqeT29v0sqU5RmtMHA61nP16S2hbkIuK+UQknX6s75sPLVDMqxf9Ly9SGFncco53vquMEd5p9rbKhnr93qI81FF7W/S+OYpCtFqdkEzScfuLynmV0INAGTQl6/GLgYYNiwYRGLKEnrzjTjuHfhlXbXXqgGEnQeo57vuCnI6dpSOikg+580tyZUaTVEqX1RajZrgKFZz4cAa3N3MrOTgW8B5zjntgUdyDl3s3OuyTnXNGjQoGLKKwnozgt43KyzSstSy66BhMk9j0mc77hJAZVWQ5TaFyXYPA2MMrORZtYHmAbMy97BzMYBv8QHmvXlL6YkqTsv4HGzzioxS23quME8OuOk0ICTex7DzquDopuzCiUF5NZWKq2GKLWvYLBxzm0HLgMWAP8A/uice8nMrjWzc1K7XQ/0B243s+fMbF7I4aQCdecFPLdvolB/RNT9u6M/Iup5DNovrdj+sqjBI31eAtvBqcxxTFIbzLmwP7tkNTU1uebm5m75bOmsktKJS5XbHwH+ol/q+JIo5yjqeczuXwkSN005PYAz33GCzku2cpwjSZ6ZPeOca+rucsSlYCM1J8qFN66kAtjIGfMDaxkGrJp5ZlnLF3ZewJ+bar7B6EmqNdhobjTpFknWpJLoj+jqwZtxm7OizNYc9vMbaLCnJE7BRhITFlCSTrtNYvLJpDrU8y29HVehVGlNyindSRNxSiLyDVxMOu02X0d9sYkDSWXsxU2QyBXn56nETD7pOVSzkUTkCyhJp92GNSkBRdeoylkDCSpvMTW6uDVELYwm3UnBRkoW1FyWL6CUszknrKku6AI+ceaiovtdKvFCXUw/khZGk+6iYCMlCbu7btytno1b2jvtn75wsWzwAAARt0lEQVRIl6OWEPfOvtQaVbHTxyQVnDQwU6qJ+mykJGF3184R2j9Qaj9Foc8O6/vpypkSumJy00qbukckH9VspCRhd9Gtbe00NtTTr74XrVvaO93Zl6M5J+6dfZL9Lrm6YnLTrvx5REqlYCMlybfIV2tbOw31ddxwwZGxsquiNj3F7fvpyn6XrmjiqsR+JJEwCjZSkmKm2A8Ttw+mmDv7sBpVuftXumpMizr8pVoo2EhJsu+uw2o4Ue/mC/XBxFk6Oo4kBpmqiUukIwUbKVn67jps7q2od/P5lliOs3R0XMX0rxSqCRUbCGtpQlSRbAo2Ujal3s2HNT3VmSXS2V5o5uWw4Be1JlRMqrRWz5RapdRnKZtSU5rDplPZETIzeTlXtgwSViNLarodrZ4ptUzBRsoqvWrlqplnBq4QWei9QcEq6gqYceYJC7qwZ8tXI0sq06zqB2ma+UdPs3QpfOITsO++0K8fjB4NV18NbUX83tasgc9/Hg44APr2hREj4PLLYePG4P3NXJ7HEwU/z8wwezDrPcGtXWYNmH0Ps2WYbcVsPWZ/xGxM1B9NzWhSUcKango1z5VrNgHouLZLUB9KMZlmUfpiNCtzFXrySTjpJGhvh/PPh6FDYdEiuPZaWLjQP/r2jXaslSvhuONg/XqYMgUOOQSeegp++lO4/3549FHYZ5+gd74GzArYvibCp14GnAhsBfoF7mHWF3gQmAg0Az8FhgIfB87E7CSce7LQBynYSMWL0tkeN5Mt7MKeb2XLdAA77+jB3PlMS+S+qaiBUBlsVWbHDvjc52DLFvjTn+Ccc/z2nTt9TefOO+GGG2DGjGjHu/RSH2h+9jP48pcz27/+dX+cb30Lbrop6J2rce6a2OU3Gw38EPgxMA0YHrLn1/GB5g7gApzbmXr/bcBc4BbMxu7aHvZxWqlTakHYipfgL9i5F/CwgBFlZct0zSdq1liclUOrOhst3YQW9ZqycCFcf72/e9+yBYYNg3PPhauuggEDOu776qswc6avNbS0QEMDDB4MEyfCD36QueN//31/QZ41C1atgm3bfPPWhz7kL+Ann1y2H5dFi+CjH4Xjj4e//rVzeQ86CIYP9+Uo1LyY3n/ECF/D6ZXVw/HOO7D//v68rl+P9e+fWanTzAF/xbkTYpXdN5c9BuwOHAUswwebepzbnrWfAauBYcCBOLcq5zgPAx8BTsK5xfk+UjUbqQlxM9kWv7yB684dW9TKlmtb22JlmsXpi+kxgzR/+Uv44hdh993h4x/3AeGhh+CHP4Q//9k3GTU2+n3XrYMPfxg2b4YzzoDzzoOtW/1F/Pe/h8suywSbz34WZs+Gww+HT3/aB6W1a+Fvf/NNUeUONgCnndb5tQMPhIMPhuXLM4EkyrFOPbVjoAHYYw8fVB94AJ4I7IZpxOzzwH7AJuAZnCvUX/NtYBxwLM5tyxMMD8IHmuWdAo13H+lgAwo2UvvCmqDCkgCiBIxy9aGoLybHa6/BV74C/fv7Ws0hh2Reu/RS+MUv4D//E26+2W+74w54+234yU/gq1/teKz33stcnDdtgjlz4OijfV9KXcfMRt56q+PzWbNg9ero5R4xwgeztGWpLMGDDw7ef9QoH2yWLy8cbKIc64EH/LE6+xDwvx22mD0PfArnXuy0t9mHgW8BM3GuUPNSug038IOBV1JfQwqeoWAjNSGsXydsHE2UC325+lDUF5Pj1lt9c9c3vtEx0IBvErv1Vl9j+Z//6di53hDwO9t998z3Zr6pqW/fzrUD6Ny5PmtW5+avfCZN6hhsNm3yX3Ob/NLS21tbCx+7+GP9X+BOfDDYChwCfBM4H1iE2ZE4l0nLNGsAfg8sBa4tXDDSBdoUVvLU18ZCB1KwkZpRbCZbvuNB6dPhaMLMHM8+67+edFLn1/baC8aNg4cfhpdf9n0t55wD//Vf8KUvwYIFMHmyb1Y69NCOfSF77glnn+2b4Y480je3feQjMGEC7LZb58966KFEfrxd0n1X5UgHDzuWc9/I2bMZ+DhmdwDnAVcAX8t6/UfAgcB4nOu84FR86QIV7KhTsJGaVuqFvlx9KD2mLyaK9F38/vsHv57enr6LHz7cN7ddc43vd7nrLr996FC44grfJJd2222+3+cPf/BjXcCPfTn/fPjxj+EDHyjfz5GubWwKuenfvLnjfl11LO8mfLA5ftcWs0nAl4BrcO65iMdJFyjsg/fM2S+Ugo3UPF3oK0z6gvnGG3DYYZ1fX7eu434AY8b4QLJ9Ozz/PPzlL76Z7atf9U1pF13k92to8EHpmmvg9dd9DWnWLN80t3o1PPJI5pil9tmMTtWOg/tR4JVUd0ZYP0y2ch7L25D6mtXOyDh8TeR7mH0v5H3tqdrTuFRASk9fEfbBo1Jfw/p0MpxzBR/AaakPXQHMCHi9L3Bb6vUngRGFjnn00Uc7kUp097Nr3HHXLXQjvnmPO+66he7uZ9d0d5Gqg2/sKbzf97/v9/v2tzu/tnGjc3vu6Vy/fs5t3Zr/OA8/7I9z1ln599uxw7lRo/y+b76Z2T5pUqbMUR6TJnU87sKFfvvxx3f+zJUr/WvDhzu3c2f+8jnn3IoVfv8RI3x5s23e7NzuuzvX0ODcu+86oNkVum7Df6TKfW/WtpMd/Drk8U5q//9NPR+aeo85eC312siAz3k49dqJhcpUcLoaM6sDbgROBw4FppvZoTm7XQRsdM59ELgBP1BIpOp0xXLOPd6FF0J9va+ZrFjR8bXvfMc3GV14YSY54Kmn4F//6nyc9LZ0f8yGDT4LLdd77/mxKr17Q58+me0PPRQn1HTu45k0yde4Hn4Y5s3LbN+5E775Tf/9JZd07Gdpb/d9UStXdjzWQQf5tOfVq+HGGzu+dvXV/mf49KdzEyKOwmx3cpkdAfwg9ezWXdud+wvOfSHwAelUvf9IbXs99R6Hb5ID+BFmmZhhNgWf9rwUKJhpUXBQp5kdC1zjnJucen5VqgzXZe2zILXP4+YHC70BDHJ5Dq5BnVKJ4gzAlBzpi+pnPhO+z89/7oPDz3/uO/z32MOPth80yGeGPf64z1B79FHYe2//nssv9xfgSZPggx/0SQQrV/pEAOdg8WI49lh47jmfXDBmDBx1lO/T2bwZ7rkH/vlP37fz05+W92fOna5m2DA/WLW52Scx5E5Xs3o1jBzp+6Fym/Byp6sZM8Yff/Fi33z22GOwzz6YmR/UaTYLOBdYBLwObMNno50G1AG/wgePwqNszVYTNKjTv9Y39RnH4RMQFuLH3nwceB8/oLMs09UMTv0gaWuACWH7OOe2m9kmYB/gzY5ltouBiwGGDRsW4aNFulbVT4ZZCX772/DXfvITH2wuvdQHjh//2E/rsmWLDw5XXukzzxqzMmmnT/czATz2mM9ka2vzswdMm+bTpw8/3O83YgR873u+BrJ4Mbz5pg9Yo0f72QemTSv/zzphAjz9tK99PPCAr0ENHw7f/a6fpibqvGjgazfNzf69998P997rkyW+8hV//HTwzZiL76A/Aj+osh++hnIf8Cucm5f7hqL4QZ8nAzOAT+Kz2zanPv9qnFsa5TBRajYfByY7X9XCzD4FjHfOfTlrn5dS+6xJPV+Z2uetoGOCajZSmVSzkUq3q2ZTZaIsMbAGP8Nn2hBgbdg+qWa0AcDb5SigSFcKW1Onxw7AFCmTKMHmaWCUmY00sz742UFzq2fzgHRD7fnAonz9NSKVqtQF4EQkWME+m1QfzGXAAnyn0y3OuZfM7Fp8Ct48/Lw8vzezFfgaTQKNoyJdQ+NyRMov0qBO59y9wL05276b9f1WfGaCiIhIJ1oWWkREEqdgIyIiiVOwERGRxCnYiIhI4hRsREQkcQo2IiKSuILT1ST2wWYbgNdKPMxAcuZfqwCVWCZQueKqxHJVYplA5YqjHGUa7pwbVI7CdKVuCzblYGbNlTZHUCWWCVSuuCqxXJVYJlC54qjEMnUVNaOJiEjiFGxERCRx1R5sbu7uAgSoxDKByhVXJZarEssEKlcclVimLlHVfTYiIlIdqr1mIyIiVaDig42ZfdzMXjKznWYWmsVhZqeZ2TIzW2FmM7K2jzSzJ83sFTO7LbUmT6ll2tvMHkwd80Ez2ytgnxPN7Lmsx1Yzm5p6bZaZrcp67chSyxS1XKn9dmR99rys7WU/V1HLZWZHmtnjqd/1C2Z2QdZrZTtfYX8nWa/3Tf3sK1LnYkTWa1elti8zs8nFlqHIcn3dzJamzs1CMxue9Vrg77OLyvVZM9uQ9flfyHrtM6nf+Stm9pnc9yZYphuyyrPczFqzXkvkXJnZLWa23sz+HvK6mdnPUmV+wcyOynotkfNUcZxzFf0AxgCjgYeAppB96oCVwIFAH+B54NDUa38EpqW+vwn4YhnK9CNgRur7GcAPC+y/N36dn91Sz2cB5ydwriKVC3g3ZHvZz1XUcgEHA6NS3x8ArAMay3m+8v2dZO1zKXBT6vtpwG2p7w9N7d8XGJk6Tl2Zzk+Ucp2Y9ffzxXS58v0+u6hcnwX+X8B79wZeTX3dK/X9Xl1Rppz9v4xfgyvpc3U8cBTw95DXzwDuAww4BngyyfNUiY+Kr9k45/7hnFtWYLfxwArn3KvOufeBOcAUMzPgJOCO1H6/BaaWoVhTUseKeszzgfucc1vK8Nn5xC3XLgmeq0jlcs4td869kvp+LbAeKPfAtcC/kzxlvQP4aOrcTAHmOOe2OedWAStSx+uScjnnFmf9/TyBX549aVHOV5jJwIPOubedcxuBB4HTuqFM04HZZfjcvJxzD+NvKMNMAX7nvCeARjPbn+TOU8Wp+GAT0WDg9azna1Lb9gFanXPbc7aX6gPOuXUAqa/7Fth/Gp3/4H+Qqk7fYGZ9y1CmOOXqZ2bNZvZEummP5M5VnHIBYGbj8XetK7M2l+N8hf2dBO6TOheb8OcmynuLFffYF+HvktOCfp9dWa7zUr+bO8xsaMz3JlUmUk2NI4FFWZuTOleFhJU7yb+rihJppc6kmdlfgP0CXvqWc+5PUQ4RsM3l2V5SmaK8P+s4+wNj8ctqp10FvIG/oN4MfBO4tgvLNcw5t9bMDgQWmdmLwOaA/SKnKpb5fP0e+Ixzbmdqc9HnK/fwAdtyf8ay/y1FEPnYZnYh0ARMytrc6ffpnFsZ9P4EyvVnYLZzbpuZXYKvFZ4U8b1JlSltGnCHc25H1rakzlUh3fF3VVEqItg4504u8RBrgKFZz4cAa/FzEDWaWe/UXWp6e0llMrN/mdn+zrl1qYvj+jyH+gRwt3OuPevY61LfbjOz3wBXRClTucqVaqbCOfeqmT0EjAPupMhzVa5ymdmewHzg26mmhvSxiz5fOcL+ToL2WWNmvYEB+OaRKO8tVqRjm9nJ+OA9yTm3Lb095PdZjgtowXI5597Kevor4IdZ7z0h570PdUWZskwDvpS9IcFzVUhYuZM6TxWnVprRngZGmc+m6oP/I5vnfA/cYnyfCcBngCg1pULmpY4V5Zid2oxTF9x0P8lUIDCDJYlymdle6WYoMxsITASWJniuoparD3A3vl379pzXynW+Av9O8pT1fGBR6tzMA6aZz1YbCYwCniqyHLHLZWbjgF8C5zjn1mdtD/x9dmG59s96eg7wj9T3C4BTU+XbCziVjrX7xMqUKtdofIf741nbkjxXhcwDPp3KSjsG2JS6iUrqPFWe7s5QKPQAPoaP/tuAfwELUtsPAO7N2u8MYDn+LuVbWdsPxF8UVgC3A33LUKZ9gIXAK6mve6e2NwG/ztpvBNAC9Mp5/yLgRfxF81agf5nOVcFyAcelPvv51NeLkjxXMcp1IdAOPJf1OLLc5yvo7wTfJHdO6vt+qZ99RepcHJj13m+l3rcMOL3Mf+eFyvWX1N9/+tzMK/T77KJyXQe8lPr8xcAhWe/9fOo8rgA+11VlSj2/BpiZ877EzhX+hnJd6m94Db5f7RLgktTrBtyYKvOLZGXWJnWeKu2hGQRERCRxtdKMJiIiFUzBRkREEqdgIyIiiVOwERGRxCnYiIhI4hRsREQkcQo2IiKSOAUbERFJ3P8HMU+9HfHK748AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for t in range(100):\n",
    "    # 调用了Net类的__CALL__方法\n",
    "    prediction = net(x)     # input x and predict based on x\n",
    "\n",
    "    loss = loss_func(prediction, y)     # order must be (1. nn output, 2. target)\n",
    "\n",
    "    optimizer.zero_grad()   # clear gradients for next train\n",
    "    loss.backward()         # backpropagation, compute gradients\n",
    "    optimizer.step()        # 使用梯度优化参数\n",
    "\n",
    "    if t % 10 == 0:\n",
    "        # plot and show learning process\n",
    "        plt.cla()\n",
    "        plt.scatter(x.data.numpy(), y.data.numpy())\n",
    "        plt.plot(x.data.numpy(), prediction.data.numpy(), 'r-', lw=5)\n",
    "        plt.text(0.5, 0, 'Loss=%.4f' % loss.data.numpy(), fontdict={'size': 20, 'color':  'red'})\n",
    "        plt.show()\n",
    "        plt.pause(0.1)\n",
    "\n",
    "plt.ioff()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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